Question

Using appropriate property find the value of:
         -2/3 X 5/6  - 2/3 X 4/7

Answer 1

The value of the given expression is -59/63

Step-by-step explanation:

Given:

-2/3 X 5/6  - 2/3 X 4/7

To find:

value of the expression

Solution:

We simplify the expression step by step

The equation can be  -2/3 X 5/6 +(-2/3 X 4/7)

Thus, by the distributive property

$-\frac{2}{3} .(\frac{5}{6} +\frac{4}{7} )$

Solving further we get

= $-\frac{2}{3} .(\frac{5(7)+4(6)}{6(7)} )$

= $-\frac{2}{3} .(\frac{(35)+(24)}{42} )$

= $-\frac{2}{3} .(\frac{59}{42} )$

Multiplying the terms as numerator to numerator and denominator to the denominator

= $-\frac{2 (59)}{3(42)}$

= $-\frac{118}{126}$

simplifying further

= $-\frac{59}{63}$

∴   -2/3 X 5/6 -2/3 X 4/7 = -59/63

Thus, the value of (-2/3 X 5/6 -2/3 X 4/7) is -59/63

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